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Finding the Third Proportional to 23,549 and 35,324

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Solution

The third proportional to 23,549 and 35,324 is: 52,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,549 : 35,324 = 35,324 : x
  2. Step 2: Convert to fraction form
    23,549/35,324 = 35,324/x
  3. Step 3: Cross multiply
    23,549x = 35,324 × 35,324
  4. Step 4: Simplify right side
    23,549x = 1,247,784,976
  5. Step 5: Solve for x
    x = 1,247,784,976/23,549
  6. Step 6: Final answer
    x = 52,986.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.